968236526729472 has 6912 divisors, whose sum is σ = 4102155337728000. Its totient is φ = 198985973760000.

The previous prime is 968236526729471. The next prime is 968236526729473. The reversal of 968236526729472 is 274927625632869.

It is an interprime number because it is at equal distance from previous prime (968236526729471) and next prime (968236526729473).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is not an unprimeable number, because it can be changed into a prime (968236526729471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 6412162428597 + ... + 6412162428747.

Almost surely, 2^{968236526729472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968236526729472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051077668864000).

968236526729472 is an abundant number, since it is smaller than the sum of its proper divisors (3133918810998528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

968236526729472 is a wasteful number, since it uses less digits than its factorization.

968236526729472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 254 counting only the distinct ones).

The product of its digits is 6584094720, while the sum is 78.

The spelling of 968236526729472 in words is "nine hundred sixty-eight trillion, two hundred thirty-six billion, five hundred twenty-six million, seven hundred twenty-nine thousand, four hundred seventy-two".